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Simplifying 6(a + 7) = 7(a + 9) Reorder the terms: 6(7 + a) = 7(a + 9) (7 * 6 + a * 6) = 7(a + 9) (42 + 6a) = 7(a + 9) Reorder the terms: 42 + 6a = 7(9 + a) 42 + 6a = (9 * 7 + a * 7) 42 + 6a = (63 + 7a) Solving 42 + 6a = 63 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 42 + 6a + -7a = 63 + 7a + -7a Combine like terms: 6a + -7a = -1a 42 + -1a = 63 + 7a + -7a Combine like terms: 7a + -7a = 0 42 + -1a = 63 + 0 42 + -1a = 63 Add '-42' to each side of the equation. 42 + -42 + -1a = 63 + -42 Combine like terms: 42 + -42 = 0 0 + -1a = 63 + -42 -1a = 63 + -42 Combine like terms: 63 + -42 = 21 -1a = 21 Divide each side by '-1'. a = -21 Simplifying a = -21
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